GCD of 52, 238, 698, 275 Calculator

Given Input numbers are 52, 238, 698, 275

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 52, 238, 698, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 238, 698, 275 is 1.

Therefore, GCD of numbers 52, 238, 698, 275 is 1

Given Input Data is 52, 238, 698, 275

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 698 is 2 x 349

Prime Factorization of 275 is 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(52, 238) = 6188

GCD(52, 238) = ( 52 x 238 ) / 6188

GCD(52, 238) = 12376 / 6188

GCD(52, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 1

GCD of 52, 238, 698, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 583, 269, 184
• GCD of 43, 982, 621, 455
• GCD of 76, 889, 352, 276
• GCD of 40, 186, 308, 506
• GCD of 39, 879, 154, 691

1. What is the GCD of 52, 238, 698, 275?

GCD of 52, 238, 698, 275 is 1

2. Where do I get the detailed procedure to find GCD of 52, 238, 698, 275?

You can find a detailed procedure to find GCD of 52, 238, 698, 275 on our page.

3. How to find GCD of 52, 238, 698, 275 on a calculator?

You can find the GCD of 52, 238, 698, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.